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FEAnalyst

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- TL;DR Summary
- How to calculate stress and deflection of a cantilever plate analytically ?

Hi,

books such as „Roark’s Formulas for Stress and Strain” or Timoshenko’s „Theory of plates and shells” provide formulas for maximum bending stress and deflection for many cases of rectangular plates. However, I can’t find a simple case of a cantilever plate (one edge clamped, all other edges free) subjected to UDL anywhere. The closest example is a plate with one edge clamped and all other edges simply supported (from Timoshenko’s book) but it’s not the same. There must be a way to solve this problem of a shelf-like plate analytically. Do you know where I can find appropriate formulas ?

Thanks in advance for your help

books such as „Roark’s Formulas for Stress and Strain” or Timoshenko’s „Theory of plates and shells” provide formulas for maximum bending stress and deflection for many cases of rectangular plates. However, I can’t find a simple case of a cantilever plate (one edge clamped, all other edges free) subjected to UDL anywhere. The closest example is a plate with one edge clamped and all other edges simply supported (from Timoshenko’s book) but it’s not the same. There must be a way to solve this problem of a shelf-like plate analytically. Do you know where I can find appropriate formulas ?

Thanks in advance for your help